Regional averaged controllability for hyperbolic parameter dependent systems

被引:0
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作者
Mouna Abdelli
Abdelhak Hafdallah
Fayçal Merghadi
Meriem Louafi
机构
[1] University of Larbi Tebessi,Laboratory of Mathematics Informatics and Systems (LAMIS)
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关键词
Parameter dependent system; averaged regional controllability; averaged control; Hilbert uniqueness method; minimum energy;
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摘要
The purpose of this paper is to extend the notion of regional controllability for hyperbolic parameter dependent systems. The key idea is the characterization of the averaged regional control with minimal energy. This control steers the state average (with respect to such a parameter) towards the desired state only on a given part of the system evolution domain. In this paper, we give the precis definition and the properties of this new concept. Then, we use an approach based on an extension of the Hilbert uniqueness method devoted to the calculation of the control in two different cases: zone control and pointwise control.
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页码:307 / 314
页数:7
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